Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Cherkis, Sergey"'
The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solutions of this bow representation are in one-to-one correspondence with
Externí odkaz:
http://arxiv.org/abs/2308.02048
Instantons on various spaces can be constructed via a generalization of the Fourier transform called the ADHM-Nahm transform. An explicit use of this construction, however, involves rather tedious calculations. Here we derive a simple formula for ins
Externí odkaz:
http://hdl.handle.net/10150/622368
http://arizona.openrepository.com/arizona/handle/10150/622368
http://arizona.openrepository.com/arizona/handle/10150/622368
Publikováno v:
SIGMA 19 (2023), 041, 11 pages
We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative $\mathbb R^4$. Via the generalized Legendre transform, we find the K\"ahler potential on each of these spaces.<
Externí odkaz:
http://arxiv.org/abs/2208.14936
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve the integration by constructing a basis of polynomial tuples that for
Externí odkaz:
http://arxiv.org/abs/2204.07822
Autor:
Cherkis, Sergey A., Lyutikov, Maxim
We consider topological configurations of the magnetically coupled spinning stellar binaries (e.g., merging neutron stars or interacting star-planet systems). We discuss conditions when the stellar spins and the orbital motion nearly `compensate' eac
Externí odkaz:
http://arxiv.org/abs/2107.09702
Unitary anti-self-dual connections on Asymptotically Locally Flat (ALF) hyperk\"ahler spaces are constructed in terms of data organized in a bow. Bows generalize quivers, and the relevant bow gives rise to the underlying ALF space as the moduli space
Externí odkaz:
http://arxiv.org/abs/2103.12754
Autor:
Cherkis, Sergey A., Hurtubise, Jacques
The construction of Atiyah, Drinfeld, Hitchin, and Manin [ADHM78] provided complete description of all instantons on Euclidean four-space. It was extended by Kronheimer and Nakajima to instantons on ALE spaces, resolutions of orbifolds $\mathbb{R}^4/
Externí odkaz:
http://arxiv.org/abs/2007.04474
Autor:
Cherkis, Sergey, Cross, Rebekah
The low velocity dynamic of a doubly periodic monopole, also called a monopole wall or monowall for short, is described by geodesic motion on its moduli space. This moduli space is hyperkaehler and non-compact. We establish a relation between the Kae
Externí odkaz:
http://arxiv.org/abs/1906.04454
Akademický článek
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Autor:
Cherkis, Sergey A., Hurtubise, Jacques
Publikováno v:
ATMP 23, no. 1, pp. 167-251, 2019
Instantons on the Taub-NUT space are related to `bow solutions' via a generalization of the ADHM-Nahm transform. Both are related to complex geometry, either via the twistor transform or via the Kobayashi-Hitchin correspondence. We explore various as
Externí odkaz:
http://arxiv.org/abs/1709.00145